The fourth term of a Geometric Progression (G.P.) is 16 and its seventh term is 128. Find its:

(a) common ratio

(b) first term

Use graph sheet for this question. Take 2 cm = 1 unit along both x and y axis. Graphically represent parallelogram OABC, where O(0, 0), A(2, 3), B(5, 3) and C(3, 0).

Reflect OABC :

(a) on the x-axis and name its image as ODEC.

(b) through the origin and name its image as OIJH.

(c) on the y-axis and name its image as OFGH.

Use the following graph and answer the given questions :

(a) Write the co-ordinates of points A, B and C.

(b) Find the equation of a line passing through the mid-point of AC and parallel to AB.

A solid wooden toy is prepared by joining a cone, a cylinder and a sphere, as shown in the given diagram. The radius of each of the three solids is 7 cm and heights of each of the cone and the cylinder is 24 cm. Find :

(a) the total surface area of the given solid.

(b) the cost of painting the total surface at the rate of ₹ 0.50 per cm².